Question

(3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths

Answer 1

The value of "x" is 5.5

Solution:

Given that we have to solve the proportion

`(3x - 4)/(14) = (9)/(10)`

We can solve the above given proportion for "x" by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable "x"

`\rightarrow (3x - 4)/(14) = (9)/(10)\\\\\rightarrow 10(3x - 4) = 14 * 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533`

On rounding to nearest tenth we get 5.5

Thus value of "x" is 5.5